nebentteeRose
Answered

At a high school, 18% of all students are in the school musical and the choir, and 32% of all students are in the school musical. What is the probability that a student is in choir, given that the student is in the school musical?

A.

14%

B.

50%

C.

56%

D.

178%

Verified Answer :

Kuku861

M stands for : student is in the school musical 
and 
C stands for : student is in the choir 
P(M n C) = 0.18 
P(M) = 0.32 
then, by def. of cond. proba. : 

P(C | M ) = P(M n C) / P(M) 
= 0.18/ 0.32 
# 0.56 

------------------> C) 56% ANSWER 

oopsydaisy

A high school has 18% percent of students in the choir & school musical, and 32% of all students are in the school musical. The probability that a student is in choir, given that the student is in the school musical is approximately 56%.